Question

An angle measures 40° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

110 and 70

Explanation:

`\text{Two supplementary angles add up to} \\180^o`

`\text{Suppose} \\x + y = 180\\ \text{and}\\ y = x - 40`

first we substitute y by x - 40 in the equation x + y = 180 ,we get:

`x + (x - 40) = 180`

`\text{then} \\2x - 40 = 180\\\text{then}\\2x = 180 + 40 = 220\\\text{then}\\x = 220/2 = 110\\`

`\text{therefore}\\y = 110 - 40 = 70`